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Finding the Third Proportional to 544,077 and 828,153

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Solution

The third proportional to 544,077 and 828,153 is: 1,260,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,077 : 828,153 = 828,153 : x
  2. Step 2: Convert to fraction form
    544,077/828,153 = 828,153/x
  3. Step 3: Cross multiply
    544,077x = 828,153 × 828,153
  4. Step 4: Simplify right side
    544,077x = 685,837,391,409
  5. Step 5: Solve for x
    x = 685,837,391,409/544,077
  6. Step 6: Final answer
    x = 1,260,552.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.